RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE


Summer School "Contemporary Mathematics", 2012
(July 19–30, 2012, Dubna)

Summer School "Contemporary Mathematics", 2012

Since 2001, Russian Academy of Sciences (Department of mathematical sciences), Steklov Mathematical Institute of RAS, Moscow Depatment for Education and the Moscow Center for Continuous Mathematical Education organize a summer school, unique in its choice of professors and participants.

During two weeks around a hundred students of high-school or from the first two years of university take part in 70–80 lectures and seminars.

Website: http://www.mccme.ru/dubna/2012/program.htm

Photogallery of the conference

Chair of the scientific committee
Sosinskii Aleksei Bronislavovich

Organisations
Branch of Mathematical Sciences, Russian Academy of Sciences
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Department of education, Moscow city
Moscow Center for Continuous Mathematical Education


Summer School "Contemporary Mathematics", 2012, Dubna, July 19–30, 2012

July 9, 2012
1. Геометрия расположения, или первые шаги топологии. Лекция для лингвистов
V. A. Uspenskii
July 9, 2012, Dubna
V. A. Uspenskii
  

July 20, 2012
2. What can the languages of mathematical logic express
V. A. Uspenskii
July 20, 2012 09:30, Dubna
V. A. Uspenskii
  
3. Root systems and Dynkin diagrams. Lecture 1
A. G. Kuznetsov
July 20, 2012 11:15, Dubna
A. G. Kuznetsov
  

July 20, 2012
4. The law of quadratic reciprocity. Lecture 1
S. M. L'vovskii
July 20, 2012 11:15, Dubna
S. M. L'vovskii
  
5. Billiards: periodic trajectories and conservation laws. Lecture 1
A. A. Glutsyuk
July 20, 2012 11:15, Dubna
A. A. Glutsyuk
  

July 20, 2012
6. Knots: invariants and normal forms. Introduction
A. B. Sosinskii
July 20, 2012 15:30, Dubna
A. B. Sosinskii
  

July 20, 2012
7. Congruent numbers and elliptic curves. Lecture 1
A. I. Zykin
July 20, 2012 17:00, Dubna
A. I. Zykin
  
8. Geometry and combinatorics of generating relations. Lecture 1
A. Ya. Belov
July 20, 2012 17:00, Dubna
A. Ya. Belov
  
9. The Euler characteristic. Lecture 1
Yu. M. Burman
July 20, 2012 17:00, Dubna
Yu. M. Burman
  

July 21, 2012
10. The law of quadratic reciprocity. Lecture 2
S. M. L'vovskii
July 21, 2012 09:30, Dubna
S. M. L'vovskii
  
11. Billiards: periodic trajectories and conservation laws. Lecture 2
A. A. Glutsyuk
July 21, 2012 09:30, Dubna
A. A. Glutsyuk
  

July 21, 2012
12. Root systems and Dynkin diagrams. Lecture 2
A. G. Kuznetsov
July 21, 2012 09:30, Dubna
A. G. Kuznetsov
  

July 21, 2012
13. Fast-growing functions (“Faster, higher, stronger”). Introductory lecture
L. D. Beklemishev
July 21, 2012 11:15, Dubna
L. D. Beklemishev
  
14. Qualitative theory of algorithms
A. L. Semenov
July 21, 2012 12:45, Dubna
A. L. Semenov
  
15. Congruent numbers and elliptic curves. Lecture 2
A. I. Zykin
July 21, 2012 15:30, Dubna
A. I. Zykin
  
16. Geometry and combinatorics of generating relations. Lecture 2
A. Ya. Belov
July 21, 2012 15:30, Dubna
A. Ya. Belov
  
17. The Euler characteristic. Lecture 2
Yu. M. Burman
July 21, 2012 15:30, Dubna
Yu. M. Burman
  
18. Curves: real, complex and over finite fields. Lecture 1
R. M. Fedorov
July 21, 2012 17:00, Dubna
R. M. Fedorov
  
19. Knots: invariants and normal forms. Lecture 1
A. B. Sosinskii
July 21, 2012 17:00, Dubna
A. B. Sosinskii
  
20. Szemeredi's theorem and dynamical systems. Lecture 1
V. V. Uspenskii
July 21, 2012 17:00, Dubna
V. V. Uspenskii
  

July 22, 2012
21. The law of quadratic reciprocity. Lecture 3
S. M. L'vovskii
July 22, 2012 09:30, Dubna
S. M. L'vovskii
  
22. Billiards: periodic trajectories and conservation laws. Lecture 3
A. A. Glutsyuk
July 22, 2012 09:30, Dubna
A. A. Glutsyuk
  

July 22, 2012
23. Root systems and Dynkin diagrams. Lecture 3
A. G. Kuznetsov
July 22, 2012 09:30, Dubna
A. G. Kuznetsov
  

July 22, 2012
24. Congruent numbers and elliptic curves. Lecture 3
A. I. Zykin
July 22, 2012 11:15, Dubna
A. I. Zykin
  
25. Geometry and combinatorics of generating relations. Lecture 3
A. Ya. Belov
July 22, 2012 11:15, Dubna
A. Ya. Belov
  
26. The Euler characteristic. Lecture 3
Yu. M. Burman
July 22, 2012 11:15, Dubna
Yu. M. Burman
  
27. Конструирование интеллектуальных систем
K. V. Anisimovich
July 22, 2012 12:45, Dubna
K. V. Anisimovich
  
28. Geometric quantization. Lecture 1
A. A. Kirillov
July 22, 2012 15:30, Dubna
A. A. Kirillov
  
29. Fast-growing functions (“Faster, higher, stronger”). Lecture 1
L. D. Beklemishev
July 22, 2012 17:00, Dubna
L. D. Beklemishev
  
30. Determinantal processes. Lecture 1
A. I. Bufetov, A. V. Komlov
July 22, 2012 17:00, Dubna
A. I. Bufetov, A. V. Komlov
  
31. Introduction to Adele democracy. Lecture 1
G. B. Shabat
July 22, 2012 17:00, Dubna
G. B. Shabat
  

July 23, 2012
32. Methods of contemporary statistics. Lecture 1
A. V. Gasnikov
July 23, 2012 09:30, Dubna
A. V. Gasnikov
  
33. Renormalization and universality in dynamical systems and in lattice models. Lecture 1
V. A. Kleptsyn
July 23, 2012 09:30, Dubna
V. A. Kleptsyn
  
34. Information theory and encoding. Lecture 1
V. N. Potapov
July 23, 2012 09:30, Dubna
V. N. Potapov
  
35. Квантовые группы, узлы и полином Джонса. Лекция 1
I. V. Losev
July 23, 2012 09:30, Dubna
I. V. Losev
  
36. Geometric quantization. Lecture 2
A. A. Kirillov
July 23, 2012 11:15, Dubna
A. A. Kirillov
  
37. The law of quadratic reciprocity. Lecture 4
S. M. L'vovskii
July 23, 2012 11:15, Dubna
S. M. L'vovskii
  
38. The Euler characteristic. Lecture 4
Yu. M. Burman
July 23, 2012 12:45, Dubna
Yu. M. Burman
  
39. Geometry and combinatorics of generating relations. Lecture 4
A. Ya. Belov
July 23, 2012 12:45, Dubna
A. Ya. Belov
  
40. When the fortune teller is of no use. Lecture 1
M. A. Raskin
July 23, 2012 15:30, Dubna
M. A. Raskin
  
41. Combinatorics of polyhedra: from Steinitz theorem to universality. Lecture 1
G. Yu. Panina
July 23, 2012 15:30, Dubna
G. Yu. Panina
  
42. Algebraic cobordisms and their applications. Lecture 1
I. A. Panin
July 23, 2012 15:30, Dubna
I. A. Panin
  
43. Searching for lost algebra: towards Galois. Introductory lecture
A. B. Skopenkov
July 23, 2012 17:00, Dubna
A. B. Skopenkov
  

July 24, 2012
44. The analogy between integers and polynomials. Lecture 1
Keith Conrad
July 24, 2012 09:30, Dubna
Keith Conrad
  
45. Geometry of discriminants and the equation solving complexity. Lecture 1
V. A. Vassiliev
July 24, 2012 09:30, Dubna
V. A. Vassiliev
  

July 24, 2012
46. Searching for lost algebra: towards Galois. Lecture 1
A. B. Skopenkov
July 24, 2012 09:30, Dubna
A. B. Skopenkov
  
47. Introduction to Adele democracy. Lecture 2
G. B. Shabat
July 24, 2012 11:15, Dubna
G. B. Shabat
  
48. Determinantal processes. Lecture 2
A. I. Bufetov, A. V. Komlov
July 24, 2012 11:15, Dubna
A. I. Bufetov, A. V. Komlov
  
49. Fast-growing functions (“Faster, higher, stronger”). Lecture 2
L. D. Beklemishev
July 24, 2012 11:15, Dubna
L. D. Beklemishev
  
50. Methods of contemporary statistics. Lecture 2
A. V. Gasnikov
July 24, 2012 12:45, Dubna
A. V. Gasnikov
  
51. Discussion with V. I. Arnold on what is the mathematics
V. M. Tikhomirov
July 24, 2012 12:45, Dubna
V. M. Tikhomirov
  
52. When the fortune teller is of no use. Lecture 2
M. A. Raskin
July 24, 2012 15:30, Dubna
M. A. Raskin
  
53. Algebraic cobordisms and their applications. Lecture 2
I. A. Panin
July 24, 2012 15:30, Dubna
I. A. Panin
  
54. Combinatorics of polyhedra: from Steinitz theorem to universality. Lecture 2
G. Yu. Panina
July 24, 2012 15:30, Dubna
G. Yu. Panina
  
55. Quantum groups, knots and the Jones polynomial. Lecture 1
I. V. Losev
July 24, 2012 17:00, Dubna
I. V. Losev
  
56. Information theory and encoding. Lecture 2
V. N. Potapov
July 24, 2012 17:00, Dubna
V. N. Potapov
  
57. Renormalization and universality in dynamical systems and in lattice models. Lecture 2
V. A. Kleptsyn
July 24, 2012 17:00, Dubna
V. A. Kleptsyn
  

July 25, 2012
58. Extremal combinatorics. Lecture 1
A. A. Razborov
July 25, 2012 09:30, Dubna
A. A. Razborov
  
59. Searching for lost algebra: towards Galois. Lecture 2
A. B. Skopenkov
July 25, 2012 11:15, Dubna
A. B. Skopenkov
  

July 25, 2012
60. Geometry of discriminants and the equation solving complexity. Lecture 2
V. A. Vassiliev
July 25, 2012 11:15, Dubna
V. A. Vassiliev
  
61. The analogy between integers and polynomials. Lecture 2
Keith Conrad
July 25, 2012 11:15, Dubna
Keith Conrad
  

July 25, 2012
62. Determinantal processes. Lecture 3
A. I. Bufetov, A. V. Komlov
July 25, 2012 15:30, Dubna
A. I. Bufetov, A. V. Komlov
  
63. Introduction to Adele democracy. Lecture 3
G. B. Shabat
July 25, 2012 15:30, Dubna
G. B. Shabat
  
64. Fast-growing functions (“Faster, higher, stronger”). Lecture 3
L. D. Beklemishev
July 25, 2012 15:30, Dubna
L. D. Beklemishev
  
65. Curves: real, complex and over finite fields. Lecture 2
R. M. Fedorov
July 25, 2012 17:00, Dubna
R. M. Fedorov
  
66. Szemeredi's theorem and dynamical systems. Lecture 2
V. V. Uspenskii
July 25, 2012 17:00, Dubna
V. V. Uspenskii
  
67. Knots: invariants and normal forms. Lecture 2
A. B. Sosinskii
July 25, 2012 17:00, Dubna
A. B. Sosinskii
  

July 26, 2012
68. The analogy between integers and polynomials. Lecture 3
Keith Conrad
July 26, 2012 09:30, Dubna
Keith Conrad
  
69. Geometry of discriminants and the equation solving complexity. Lecture 3
V. A. Vassiliev
July 26, 2012 09:30, Dubna
V. A. Vassiliev
  
70. Searching for lost algebra: towards Galois. Lecture 3
A. B. Skopenkov
July 26, 2012 09:30, Dubna
A. B. Skopenkov
  
71. Extremal combinatorics. Lecture 2
A. A. Razborov
July 26, 2012 11:15, Dubna
A. A. Razborov
  
72. Quantum groups, knots and the Jones polynomial. Lecture 2
I. V. Losev
July 26, 2012 12:45, Dubna
I. V. Losev
  
73. Fast-growing functions (“Faster, higher, stronger”). Lecture 4
L. D. Beklemishev
July 26, 2012 15:30, Dubna
L. D. Beklemishev
  
74. Introduction to Adele democracy. Lecture 4
G. B. Shabat
July 26, 2012 15:30, Dubna
G. B. Shabat
  
75. Determinantal processes. Lecture 4
A. I. Bufetov, A. V. Komlov
July 26, 2012 15:30, Dubna
A. I. Bufetov, A. V. Komlov
  
76. Variational problems. Lecture 1
V. Yu. Protasov
July 26, 2012 17:00, Dubna
V. Yu. Protasov
  
77. Finite fields and sandpile groups. Lecture 1
S. V. Duzhin
July 26, 2012 17:00, Dubna
S. V. Duzhin
  
78. Проблема домино, апериодические плитки и квазикристаллы. Что такое проблема домино, что такое апериодические плитки, и почему они нам мешают
T. Fernique
July 26, 2012 17:00, Dubna
T. Fernique
  
79. Knot theory. Vassiliev invariants. Lecture 1
D. V. Mironov
July 26, 2012 17:00, Dubna
D. V. Mironov
  

July 27, 2012
80. Examples and applications of metric spaces
I. V. Yaschenko
July 27, 2012 09:30, Dubna
I. V. Yaschenko
  
81. When the fortune teller is of no use. Lecture 3
M. A. Raskin
July 27, 2012 11:15, Dubna
M. A. Raskin
  
82. Combinatorics of polyhedra: from Steinitz theorem to universality. Lecture 3
G. Yu. Panina
July 27, 2012 11:15, Dubna
G. Yu. Panina
  
83. Algebraic cobordisms and their applications. Lecture 3
I. A. Panin
July 27, 2012 11:15, Dubna
I. A. Panin
  
84. Квантовые компьютеры
L. E. Fedichkin
July 27, 2012 12:45, Dubna
L. E. Fedichkin
  
85. Curves: real, complex and over finite fields. Lecture 3
R. M. Fedorov
July 27, 2012 15:30, Dubna
R. M. Fedorov
  
86. Knots: invariants and normal forms. Lecture 3
A. B. Sosinskii
July 27, 2012 15:30, Dubna
A. B. Sosinskii
  
87. Szemeredi's theorem and dynamical systems. Lecture 3
V. V. Uspenskii
July 27, 2012 15:30, Dubna
V. V. Uspenskii
  
88. Knot theory. Vassiliev invariants. Lecture 2
D. V. Mironov
July 27, 2012 17:00, Dubna
D. V. Mironov
  
89. Проблема домино, апериодические плитки и квазикристаллы. Как замостить плоскость плитками Робинсона?
T. Fernique
July 27, 2012 17:00, Dubna
T. Fernique
  
90. Finite fields and sandpile groups. Lecture 2
S. V. Duzhin
July 27, 2012 17:00, Dubna
91. Variational problems. Lecture 2
V. Yu. Protasov
July 27, 2012 17:00, Dubna
V. Yu. Protasov
  

July 28, 2012
92. Quantum groups, knots and the Jones polynomial. Lecture 3
I. V. Losev
July 28, 2012 11:15, Dubna
I. V. Losev
  
93. Information theory and encoding. Lecture 3
V. N. Potapov
July 28, 2012 11:15, Dubna
V. N. Potapov
  
94. Renormalization and universality in dynamical systems and in lattice models. Lecture 3
V. A. Kleptsyn
July 28, 2012 11:15, Dubna
V. A. Kleptsyn
  
95. Methods of contemporary statistics. Lecture 3
A. V. Gasnikov
July 28, 2012 11:15, Dubna
A. V. Gasnikov
  
96. Variational problems. Lecture 3
V. Yu. Protasov
July 28, 2012 15:30, Dubna
V. Yu. Protasov
  
97. Finite fields and sandpile groups. Lecture 3
S. V. Duzhin
July 28, 2012 15:30, Dubna
98. Проблема домино, апериодические плитки и квазикристаллы. Что такое проблема остановки, и почему разрешить её всё равно, что разрешить проблему домино
T. Fernique
July 28, 2012 15:30, Dubna
T. Fernique
  
99. Knot theory. Vassiliev invariants. Lecture 3
D. V. Mironov
July 28, 2012 15:30, Dubna
D. V. Mironov
  
100. Searching for lost algebra: towards Galois. Lecture 4
A. B. Skopenkov
July 28, 2012 17:00, Dubna
A. B. Skopenkov
  
101. Geometry of discriminants and the equation solving complexity. Lecture 4
V. A. Vassiliev
July 28, 2012 17:00, Dubna
V. A. Vassiliev
  

July 28, 2012
102. The analogy between integers and polynomials. Lecture 4
Keith Conrad
July 28, 2012 17:00, Dubna
Keith Conrad
  

July 29, 2012
103. Szemeredi's theorem and dynamical systems. Lecture 4
V. V. Uspenskii
July 29, 2012 09:30, Dubna
V. V. Uspenskii
  
104. Knots: invariants and normal forms. Lecture 4
A. B. Sosinskii
July 29, 2012 09:30, Dubna
A. B. Sosinskii
  
105. Curves: real, complex and over finite fields. Lecture 4
R. M. Fedorov
July 29, 2012 09:30, Dubna
R. M. Fedorov
  
106. Knot theory. Vassiliev invariants. Lecture 4
D. V. Mironov
July 29, 2012 11:15, Dubna
D. V. Mironov
  
107. Проблема домино, апериодические плитки и квазикристаллы. Почему апериодические плитки не только нам мешают, но и нас интересуют, и как их найти?
T. Fernique
July 29, 2012 11:15, Dubna
T. Fernique
  
108. Finite fields and sandpile groups. Lecture 4
S. V. Duzhin
July 29, 2012 11:15, Dubna
109. Variational problems. Lecture 4
V. Yu. Protasov
July 29, 2012 11:15, Dubna
V. Yu. Protasov
  
110. Systems of representatives and Vapnik–Chervonekis dimension. Lecture 2
A. M. Raigorodskii
July 29, 2012 12:45, Dubna
A. M. Raigorodskii
  
111. Information theory and encoding. Lecture 4
V. N. Potapov
July 29, 2012 15:30, Dubna
V. N. Potapov
  
112. Quantum groups, knots and the Jones polynomial. Lecture 4
I. V. Losev
July 29, 2012 15:30, Dubna
I. V. Losev
  
113. Methods of contemporary statistics. Lecture 4
A. V. Gasnikov
July 29, 2012 15:30, Dubna
A. V. Gasnikov
  
114. Renormalization and universality in dynamical systems and in lattice models. Lecture 4
V. A. Kleptsyn
July 29, 2012 15:30, Dubna
V. A. Kleptsyn
  
115. Algebraic cobordisms and their applications. Lecture 4
I. A. Panin
July 29, 2012 17:00, Dubna
I. A. Panin
  
116. Combinatorics of polyhedra: from Steinitz theorem to universality. Lecture 4
G. Yu. Panina
July 29, 2012 17:00, Dubna
G. Yu. Panina
  
117. When the fortune teller is of no use. Lecture 4
M. A. Raskin
July 29, 2012 17:00, Dubna
M. A. Raskin
  
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2017